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In the design of shafts made of ductile materials subjected to twisting moment and bendingmoment, the recommended theory of failure is
- a)maximum principal stress theory
- b)maximum principal strain theory
- c)maximum shear stress theory
- d)maximum strain – energy theory
Correct answer is option 'C'. Can you explain this answer?
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In the design of shafts made of ductile materials subjected to twistin...
Understanding the Maximum Shear Stress Theory
The maximum shear stress theory, also known as Tresca's criterion, is particularly relevant for the design of shafts made of ductile materials subjected to combined loading conditions like twisting moments and bending moments.
Why Maximum Shear Stress Theory?
- Ductile Material Behavior: Ductile materials experience significant plastic deformation before failure. The maximum shear stress theory effectively accounts for this behavior by focusing on shear rather than normal stresses.
- Combined Loading: In shafts, twisting (torsion) and bending create complex stress states. The maximum shear stress theory simplifies this by allowing engineers to evaluate the combined effects of these loads on the material.
- Failure Prediction: The theory states that failure occurs when the maximum shear stress in the material reaches a critical value, typically defined as half the difference between the maximum and minimum principal stresses. This is particularly useful in ductile materials where yielding is more critical than fracture.
Application in Design
- Design Safety: By using the maximum shear stress theory, designers can ensure that shafts will not fail under combined loading conditions, leading to safer, more reliable mechanical systems.
- Material Selection: It helps in selecting appropriate materials and dimensions for shafts to withstand expected loads without yielding.
Conclusion
In summary, the maximum shear stress theory is the recommended approach for analyzing the safety and performance of shafts made from ductile materials under twisting and bending moments, making it essential in mechanical engineering design.
The maximum shear stress theory, also known as Tresca's criterion, is particularly relevant for the design of shafts made of ductile materials subjected to combined loading conditions like twisting moments and bending moments.
Why Maximum Shear Stress Theory?
- Ductile Material Behavior: Ductile materials experience significant plastic deformation before failure. The maximum shear stress theory effectively accounts for this behavior by focusing on shear rather than normal stresses.
- Combined Loading: In shafts, twisting (torsion) and bending create complex stress states. The maximum shear stress theory simplifies this by allowing engineers to evaluate the combined effects of these loads on the material.
- Failure Prediction: The theory states that failure occurs when the maximum shear stress in the material reaches a critical value, typically defined as half the difference between the maximum and minimum principal stresses. This is particularly useful in ductile materials where yielding is more critical than fracture.
Application in Design
- Design Safety: By using the maximum shear stress theory, designers can ensure that shafts will not fail under combined loading conditions, leading to safer, more reliable mechanical systems.
- Material Selection: It helps in selecting appropriate materials and dimensions for shafts to withstand expected loads without yielding.
Conclusion
In summary, the maximum shear stress theory is the recommended approach for analyzing the safety and performance of shafts made from ductile materials under twisting and bending moments, making it essential in mechanical engineering design.
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In the design of shafts made of ductile materials subjected to twisting moment and bendingmoment, the recommended theory of failure isa)maximum principal stress theoryb)maximum principal strain theoryc)maximum shear stress theoryd)maximum strain – energy theoryCorrect answer is option 'C'. Can you explain this answer?
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